Taiwan is dotted with surfing spots that break during all times of the year. Without a car you are limited to the better known spots such as Daxi, Jia le Shuei etc but if you look there are better spots to be found.

NE-E Taiwan has many spots that pick up even a sniff of swell and SW-S-SE Taiwan is a myraid of breaks that you just need to look around to find.
Check the weather charts, get hold of wheels and look around the point/ corner road and you will get waves.

It is quite impossible to manage to carry a board on some kind of public bus from taipei to any surfing beach. Either you rent a board at the beach or you bring ur own.Other wise, ask if anyone you know who surf in Taiwan can drive you with your board there.

In the 60's, we all surfed MacCaully Beach - I think it is called Green bay now. What I can tell you is that Taiwan, on its day, freaking rips!!! We surfed mostly the north coast, between the road from Dam Shui, east. Tons of perfect reefs and points - you just had to track the typhoons and get off the bus and look. One special place we called "Mary's Beach". Past the tunnel by MacCaully's beach, about 4 - 5 miles headed east, there is a coast road overlooking an old farmers village, down at the bottom of a steep ravine. Next to the village is a lagoon that punchs a hole in the beach and flows out. Give it 2 - 4 feet overhead, solid ground swell from a Typhoon headed for Japan - Dude, you are smoking some heavy river mouth barrels. FULL ON!

Don't really have to worry about the ghost month thing, just be as careful as you usually do. We still go in to the water anyway.